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103131341424 = 24333727723293
BaseRepresentation
bin110000000001100011…
…0110110001001110000
3100212012101210222011000
41200003012312021300
53142203110411144
6115213342322000
710310455636536
oct1400306661160
9325171728130
10103131341424
113a812a54281
1217ba2589300
13995748c1a7
144dc4c96156
152a390c4769
hex18031b6270

103131341424 has 160 divisors (see below), whose sum is σ = 305136491840. Its totient is φ = 33325820928.

The previous prime is 103131341399. The next prime is 103131341447. The reversal of 103131341424 is 424143131301.

103131341424 is a `hidden beast` number, since 1 + 0 + 313 + 1 + 341 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4415922 + ... + 4439214.

It is an arithmetic number, because the mean of its divisors is an integer number (1907103074).

Almost surely, 2103131341424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103131341424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152568245920).

103131341424 is an abundant number, since it is smaller than the sum of its proper divisors (202005150416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103131341424 is a wasteful number, since it uses less digits than its factorization.

103131341424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23624 (or 23612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 103131341424 its reverse (424143131301), we get a palindrome (527274472725).

The spelling of 103131341424 in words is "one hundred three billion, one hundred thirty-one million, three hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 277 296 333 432 444 554 592 666 831 888 999 1108 1332 1662 1776 1998 2216 2493 2664 3324 3996 4432 4986 5328 6648 7479 7992 9972 10249 13296 14958 15984 19944 20498 23293 29916 30747 39888 40996 46586 59832 61494 69879 81992 92241 93172 119664 122988 139758 163984 184482 186344 209637 245976 276723 279516 368964 372688 419274 491952 553446 559032 628911 737928 838548 861841 1106892 1118064 1257822 1475856 1677096 1723682 2213784 2515644 2585523 3354192 3447364 4427568 5031288 5171046 6452161 6894728 7756569 10062576 10342092 12904322 13789456 15513138 19356483 20684184 23269707 25808644 31026276 38712966 41368368 46539414 51617288 58069449 62052552 77425932 93078828 103234576 116138898 124105104 154851864 174208347 186157656 232277796 238729957 309703728 348416694 372315312 464555592 477459914 696833388 716189871 929111184 954919828 1393666776 1432379742 1909839656 2148569613 2787333552 2864759484 3819679312 4297139226 5729518968 6445708839 8594278452 11459037936 12891417678 17188556904 25782835356 34377113808 51565670712 103131341424